Geodesic
On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container
Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 5, pp. 854-864.

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We study the direct and inverse eigenvalue problems for a pair of harmonic functions with a spectral parameter in boundary and coupling conditions. The direct problem is relevant to sloshing frequencies of free oscillations of a two-layer fluid in a container. The upper fluid occupies a layer bounded above by a free surface and below by a layer of fluid of greater density. Both fluids are assumed to be inviscid, incompressible, and heavy, whereas the free surface and the interface between fluids are considered bounded.
Keywords: sloshing problem, two-layer fluid, eigenvalue, eigenfunction, inverse spectral problem.
Mots-clés : Laplace equation 
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     author = {N. G. Kuznetsov},
     title = {On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {854--864},
     publisher = {mathdoc},
     volume = {7},
     number = {5},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2016_7_5_a6/}
}
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N. G. Kuznetsov. On direct and inverse spectral problems for sloshing of a two-layer fluid in an open container. Nanosistemy: fizika, himiâ, matematika, Tome 7 (2016) no. 5, pp. 854-864. http://geodesic.mathdoc.fr/item/NANO_2016_7_5_a6/